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Finding the Fourth Proportional to 524,794.60, 786,731.10 and 314,516.20

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Solution

The fourth proportional to 524,794.60, 786,731.10 and 314,516.20 is: 471,498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,794.60 : 786,731.10 = 314,516.20 : x
  2. Step 2: Convert to fraction form
    524,794.60/786,731.10 = 314,516.20/x
  3. Step 3: Cross multiply
    524,794.60x = 786,731.10 × 314,516.20
  4. Step 4: Simplify right side
    524,794.60x = 247,439,675,993.82
  5. Step 5: Solve for x
    x = 247,439,675,993.82/524,794.60
  6. Step 6: Final answer
    x = 471,498.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.